DOI: https://doi.org/10.15587/1729-4061.2014.31195

Lateral oscillations of a straight section of a two constant based heterogeneous pipeline

Вагиф Джамал оглы Гаджиев, Хагани Гияс оглы Джафаров

Abstract


The study focuses on the natural oscillation of a straight section of an invariably heterogeneous elastic pipeline lying on a twoconstant base devised by P. L. Pasternak. The elasticity module and the specific density are regarded as a continuous function of the pipeline length coordinate, whereas the continuous function is a function that characterizes heterogeneity of the elasticity module together with its first and second derivatives. Hereby, the equation on the motion-relative deflection is a linear equation with variable coefficients of the fourth order. The problem is solved in a combined way: the first stage involves a variables separation method, whereas the second stage is carried out by the Bubnov-Galerkin orthogonality method. Specific values are calculated in the first approximation; the findings are presented in tables and graphs that illustrate dependencies between the circular frequency and heterogeneity-specifying parameters. The calculation results show a significant impact of heterogeneity upon the value of circular frequency and depend on the law of heterogeneity distribution.


Keywords


heterogeneity; pipe; continuity; base; frequency; elasticity module; density

References


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ISSN (print) 1729-3774, ISSN (on-line) 1729-4061